Every Reidemeister move is needed for each knot type

Tobias J. Hagge

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Every Reidemeister move is needed for each knot type

Tobias J. Hagge

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Abstract

We show that every knot type admits a pair of diagrams that cannot be made identical without using Reidemeister Omega_2-moves. We also show that our proof is compatible with known results for the other move types, in the sense that every knot type admits a pair of diagrams that cannot be made identical without using all of the move types.

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BibTeX RIS

Tobias J. Hagge. 2004-06-27. Every Reidemeister move is needed for each knot type. https://arxiv.org/abs/math/0404145

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